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**7**pieces, which would be odd. Then how would I apply

**Simpson's rule**to my problem? Doesn't the

**have to be equal to some**

*n***even**number?

I'm a bit confused, here is the question.

Estimate \(\displaystyle \int ^{2\pi}_0 f(x) \, dx\)

The following data was collected about a function

**f(x)**

\(\displaystyle x|f(x)\)

\(\displaystyle 0 | 1.000\)

\(\displaystyle \frac{\pi}{3} | 1.513\)

\(\displaystyle \frac{2\pi}{3} | 0.696\)

\(\displaystyle \pi | 1.000\)

\(\displaystyle \frac{4\pi}{3} | 1.107\)

\(\displaystyle \frac{5\pi}{3} | 0.937\)

\(\displaystyle 2\pi | 1.000\)

Sorry if it looks sloppy, I don't remember how to draw tables on this forum, anyways, with that being said, They are giving me 7 values, so they want me to split it into 7 pieces correct? So they want \(\displaystyle \frac{\Delta x}{3} [ f(0) + 4(\pi/3) + 2( 2\pi/3) ....... 2\pi]\)

By the way I am just

**they want me to split it into 7 pieces. Maybe they just want 6? I'm just not too sure, I feel like the approximate area would need to include all values. Thanks in advance for your help**

*guessing*